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Finding the Third Proportional to 239,906 and 516,718

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Solution

The third proportional to 239,906 and 516,718 is: 1,112,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,906 : 516,718 = 516,718 : x
  2. Step 2: Convert to fraction form
    239,906/516,718 = 516,718/x
  3. Step 3: Cross multiply
    239,906x = 516,718 × 516,718
  4. Step 4: Simplify right side
    239,906x = 266,997,491,524
  5. Step 5: Solve for x
    x = 266,997,491,524/239,906
  6. Step 6: Final answer
    x = 1,112,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.